Question

Evaluate:
$\frac{5}{3}-\frac{3}{2}$

• A. $\frac{10}{6}$
• B. $\frac{7}{6}$
• C. $\frac{1}{6}$
• D. None of these

Answer 1

The correct option is C $\frac{1}{6}$

Given,
$\frac{5}{3}-\frac{3}{2}$

As these are unlike fractions, convert them into the like fractions as follows

$\frac{5}{3}=\frac{5\times 2}{3\times 2}=\frac{10}{6}$

$\frac{3}{2}=\frac{3\times 3}{2\times 3}=\frac{9}{6}$

$\therefore \frac{5}{3}-\frac{3}{2}=\frac{10}{6}-\frac{9}{6}$

Subtract: As the denominators of the fractions are the same, so the numerators can be subtracted directly and the denominator remains the same.

$\therefore \frac{5}{3}-\frac{3}{2}=\frac{10}{6}-\frac{9}{6}=\frac{10-9}{6}=\frac{1}{6}$